Find the point that partitions line segment ab with
endpoints a(-2, 1) and b(4,6) in a ratio of 1: 2.

The coordinates of

Step-by-step explanation:

The coordinates of the points are given as A(-2, 1) and B(4,6).

The ratio is 1 : 2

Le t us assume the point is M (x,y).

⇒ AM : MB =  1 : 2

Now, Using SECTION FORMULA:

Using m1 : m2 = 1 : 2

Here, we get

Hence, the coordinates of

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

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part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: